神马作文网简便计算：1/14+1/24+1/36+1/48+1/60+1/72
来源：学生作业帮 编辑：神马作文网作业帮 分类：数学作业 时间：2024/09/20 19:39:49
简便计算：1/14+1/24+1/36+1/48+1/60+1/72
我打错了，应是1/12+1/24+1/36+1/48+1/60+1/72
我打错了，应是1/12+1/24+1/36+1/48+1/60+1/72
1/12+1/24+1/36+1/48+1/60+1/72
=（1-3-1/4）+（1/4-1/6）*1/2+1/36+（1/6-1/8）*1/2+1/60+（1/8-1/9）
=（1/3-1/4+1/8-1/9）+【（1/4-1/6+1/6-1/8）*1/2】+1/36+1/60
=7/72+1/16+1/36+1/60
=（7/72+1/36）+1/16+1/60
=1/8+1/16+1/60
=3/16+1/60
=49/240
=（1-3-1/4）+（1/4-1/6）*1/2+1/36+（1/6-1/8）*1/2+1/60+（1/8-1/9）
=（1/3-1/4+1/8-1/9）+【（1/4-1/6+1/6-1/8）*1/2】+1/36+1/60
=7/72+1/16+1/36+1/60
=（7/72+1/36）+1/16+1/60
=1/8+1/16+1/60
=3/16+1/60
=49/240